Question

Which of the following expressions is this one equivalent to?
(x^4 - 2x^3 + x - 2) / (x^3 + 1)

a. x^2 - x + 1
b. x-2
c. x^2 + 3x + 2
d. x^2 + 1

Answer 1

You can factor out common terms \[\huge \frac{ x^4-2x^3+x-2 }{ x^3+1 } \implies \frac{ (x-2)(x^3+1) }{ (x^3+1) }\]

Answer 2

\[\frac{ x^4-2x^3+x-2 }{ x^3+1 } \implies \frac{ (x-2)(x^3+1) }{ (x^3+1) }\]

Answer 3

Oh I never thought of it that way! That is so much easier than what I was initially taught! So the answers is going to be x-2! Thank you so much for your help!!

Answer 4

Np :)